Cohomology of arithmetic groups with infinite dimensional coefficient spaces
Anton Deitmar
Mathematisches Institut Universität Paderborn Auf der Morgenstelle 10 Fakultät für Elektrotechnik 72076 Tübingen, Germany Informatik und MathematikJoachim Hilgert
Warburger Str. 100 33098 Paderborn, Germany
Abstract
The cuspidal cohomology groups of arithmetic groups in certain infinite dimensional modules are computed. As a result we get a simultaneous generalization of the Patterson-Conjecture and the Lewis-Correspondence.
Cite this article
Anton Deitmar, Joachim Hilgert, Cohomology of arithmetic groups with infinite dimensional coefficient spaces. Doc. Math. 10 (2005), pp. 199–216
DOI 10.4171/DM/186